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51.True because any amount of land(city)
has a maximum population it will hold.

False ... only LOGISTIC growth has an
upper control.
52. False because b cannot be a negative number.

Correct ... remember the base for decay is
(1 minus rate) ... which is still a positive number.
53. (c) Since the percentage rate plus one gives us the 1.049
I subtracted one and got .049 times 100 equals 4.9%

Correct
54. (b) Since one minus the percentage of decay rate gives us
I reversed it and subtracted .834 from 1 and got .166 times 100
equals 16.6%

Correct
55. (d) I used the exponential equation of 2^(x/4)= 1000.
Then I solved it until I had 10^12= 2^x.
Next i used the log base 2 of 10^12.

Correct ... good equation!
56.(e) I plugged in 8 for t and then
divided 789 by 1+16e^(-.8*8) and got about 769.

Correct